Accepted Solution
To calculate 14/17 divided by 75, we first understand that the number 14/17 is a fraction, also referred to as the dividend, and 75 is a whole number, also known as the divisor. Thus, the problem can be represented as: 14/17 ÷ 75.
The process for solving this is as follows:
Firstly, multiply the whole number 75 by the denominator of the fraction 17, resulting to 1275 (75 x 17= 1275).
This result becomes the denominator of the final fraction. So , our answer in fraction form is 1275/14. This is represented using latex as \(\frac{1275}{14}\).
To convert this fraction to decimal form, divide the numerator by the denominator. So, 1275 divided by 14 = 91.07. This is represented using latex as \(\frac{1275}{14}= 91.07\).
Therefore, the decimal form of 14/17 divided by 75 = 91.07, and the simplest fractional form is 1275/14.
This method can be applied to other division problems that involve dividing a fraction by a whole number. Examples of such problems include: 19/3 ÷ 13/20, 65 ÷ 9/5, etc.